Titlebook: Superlinear Parabolic Problems; Blow-up, Global Exis Pavol Quittner,Philippe Souplet Textbook 20071st edition Birkhäuser Basel 2007 A-prior

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Model Parabolic Problems,rmulate most of our assertions for the model case f(u) = |u|.u with p1, but the methods of our proofs can be applied to more general parabolic problems (not necessarily of the form (14.1)). Some of possible generalizations and modifications will be mentioned as remarks, other can be found in the sub

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Systems,y coupled elliptic systems which are natural extensions of the scalar equations considered in Chapter I. In Section 32, we study a simple parabolic system which is the analogue of the scalar model problem (15.1) studied in Chapter II. For this system, we treat the questions of well-posedness, global

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Textbook 20071st editionss of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. ..The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple mode

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